Strong vs. Weak Coupling Duality and Coupling Dependence of the Kondo Temperature in the Two-Channel Kondo Model

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dc.creatorKolf, Christian
dc.creatorKroha, Johann
dc.date2006-10-23
dc.date2006-12-21
dc.date.accessioned2026-07-07T07:43:06Z
dc.date.available2026-07-07T07:43:06Z
dc.descriptionWe perform numerical renormalization group (NRG) as well as analytical calculations for the two-channel Kondo model to obtain the dependence of the Kondo temperature $T_K$ on the dimensionless (bare) spin exchange coupling $g$ over the complete parameter range from $g\ll 1$ to $g\gg 1$. We show that there exists a duality between the regimes of small and large coupling. It is unique for the two-channel model and enables a mapping between the strong and the weak coupling cases via the identification $g\leftrightarrow 3/(2g)$, implying an exponential dependence of $T_K$ on $1/g$ and $g$, respectively, in the two regimes. This agrees quantitatively with our NRG calculations where we extract $T_K(g)$ over the complete parameter range and obtain a non-monotonous $T_K(g)$ dependence, strongly peaked at the 2CK fixed point coupling $g^*$. These results may be relevant for resolving the long-standing puzzle within the 2CK interpretation of certain random defect systems, why no broad distribution of $T_K$ is observed in those systems.
dc.description6 pages, 3 figures; PRB published version, shortened, nomenclature clarified
dc.identifierhttps://arxiv.org/abs/cond-mat/0610631
dc.identifierhttp://arxiv.org/abs/cond-mat/0610631
dc.identifierPhys. Rev. B 75, 045129 (2007)
dc.identifierdoi:10.1103/PhysRevB.75.045129
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122691
dc.subjectStrongly Correlated Electrons
dc.titleStrong vs. Weak Coupling Duality and Coupling Dependence of the Kondo Temperature in the Two-Channel Kondo Model
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